40343546880 has 880 divisors, whose sum is σ = 178096860480. Its totient is φ = 8504082432.

The previous prime is 40343546879. The next prime is 40343546977. The reversal of 40343546880 is 8864534304.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37738986 + ... + 37740054.

It is an arithmetic number, because the mean of its divisors is an integer number (202382796).

Almost surely, 2^40343546880 is an apocalyptic number.

40343546880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40343546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89048430240).

40343546880 is an abundant number, since it is smaller than the sum of its proper divisors (137753313600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40343546880 is a wasteful number, since it uses less digits than its factorization.

40343546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 40343546880 in words is "forty billion, three hundred forty-three million, five hundred forty-six thousand, eight hundred eighty".